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Finding the Third Proportional to 116,418 and 251,382

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Solution

The third proportional to 116,418 and 251,382 is: 542,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,418 : 251,382 = 251,382 : x
  2. Step 2: Convert to fraction form
    116,418/251,382 = 251,382/x
  3. Step 3: Cross multiply
    116,418x = 251,382 × 251,382
  4. Step 4: Simplify right side
    116,418x = 63,192,909,924
  5. Step 5: Solve for x
    x = 63,192,909,924/116,418
  6. Step 6: Final answer
    x = 542,810.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.